Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822q |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-19281857451393024 = -1 · 227 · 34 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 -6 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,30421,-6348391] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1078:1] |
Generators of the group modulo torsion |
j |
8624542690547063/53412347510784 |
j-invariant |
L |
7.3552164679051 |
L(r)(E,1)/r! |
Ω |
0.19289946452022 |
Real period |
R |
0.70610726010766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110466v2 36822k2 |
Quadratic twists by: -3 -19 |